Atkin-Lehner |
2+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
29150d |
Isogeny class |
Conductor |
29150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-11386718750000 = -1 · 24 · 513 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11+ 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3251,-177602] |
[a1,a2,a3,a4,a6] |
j |
-243087455521/728750000 |
j-invariant |
L |
1.1689602720019 |
L(r)(E,1)/r! |
Ω |
0.29224006800082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5830g1 |
Quadratic twists by: 5 |